Cited by 18Metaheuristic Optimization Algorithms ResearchAdvanced Control Systems DesignAdvanced Algorithms and Applications

Improved Beetle Antennae Search Algorithm-Based Lévy Flight for Tuning of PID Controller in Force Control System

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Fan, Yuqi, Shao, Junpeng, Sun, Guitao, Shao, Xuan·2020·Mathematical Problems in Engineering

Abstract

To enhance the anti-interference capability of an electrohydraulic force servo control system and increase the efficiency of the PID controller, this paper proposes a LBAS-PID controller. In LBAS, the random step created by the Lévy flight trajectory was used in the original algorithm to enhance the diversity of the population and convergence speed. In the force servo control system, LBAS-PID can enhance the performance of the system. First, the basic mathematical model of an electrohydraulic force servo control system was built based on theoretical analysis. The transfer function model was obtained by identifying the system parameters. Second, the introduced Lévy flight beetle antennae search algorithm was introduced and applied to ten benchmark functions, and the results were compared with those of other algorithms. Then, the proposed algorithm was applied in the PID controller to tune PID parameters in the force servo control system. To comprehensively evaluate performances of an electrohydraulic force servo control system that is controlled by the LBAS-PID controller, the frequency response analysis and temporal response analysis were obtained. The numerical analysis results indicate that an electrohydraulic force servo control system with an LBAS-PID controller could substantially increase the control characteristics of the system and restrain the external disturbances when different interference signals are examined.

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Research works printed but not linked: 6

  1. Y. Zhang, L. Zhang, and Z. Dong, "An MEA-tuning method for design of the PID controller," Mathematical Problems in Engineering, vol. 2019, pp. 1-11, 2019.
  2. D. Pršić, N. Nedić, and V. Stojanović, "A nature inspired optimal control of pneumatic-driven parallel robot platform," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 231, no. 1, pp. 59-71, 2016.
  3. Q. Wu, X. Shen, Y. Jin et al., "Intelligent beetle antennae search for UAV sensing and avoidance of Obstacles," Sensors (Basel), vol. 19, no. 8, 2019.
  4. Q. Wu, H. Lin, Y. Jin, Z. Chen, S. Li, and D. Chen, "A New Fallback Beetle Antennae Search Algorithm for Path Planning of Mobile Robots with Collision-free Capability," in Soft Computing, Springer, Berlin, Germany, 2019.
  5. Y. Fan, J. Shao, and G. Sun, "Optimized PID controller based on beetle antennae search algorithm for electro-hydraulic position servo control system," Sensors (Basel), vol. 19, no. 12, 2019.
  6. R. Poli, J. Kennedy, and T. Blackwell, "Particle swarm opti- mization," Swarm Intelligence, vol. 7, no. 8, pp. 33-57, 2007.

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Authors
Fan, Y., Shao, J., Sun, G., & Shao, X.
Affiliations
Harbin University of Science and Technology (CN)
Corresponding author
Shao, Xuan
Venue
Mathematical Problems in Engineering
Publisher
Wiley
Published
2020-03-24
Volume
2020
Pages
1-22
ISSN
  • 1024-123X (ISSN-L)
  • 1563-5147
OpenAlex
W3013284298
Cited by
18
References
43
Citations by year
2026: 1 · 2025: 2 · 2024: 4 · 2023: 3 · 2022: 3 · 2021: 4 · 2020: 1
FWCI
1.08
Type
journal article
Language
en
Open access
Locations
  • Mathematical Problems in Engineering (publishedVersion, cc-by)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
Funders
International Cooperation Project (2012DFR70840)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Metaheuristic Optimization Algorithms Research
  • Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
  • Physical Sciences › Engineering › Control and Systems Engineering › Advanced Algorithms and Applications
Keywords
beetle antennae search algorithm, Lévy flight, PID controller tuning, metaheuristic optimization, population diversity, convergence rate, disturbance rejection, transfer function model, parameter estimation

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